JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

The number of ways in which five identical balls can be distributed among ten identical boxes such that no box contains more than one ball, is

Answer: (D)

Solution

Both the balls and the boxes are identical, so a distribution is fixed only by how many boxes hold a ball. No box may hold more than one ball, so exactly boxes hold one ball each and are empty; with identical boxes this gives just

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Question ID VK-020679